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SageMath
E = EllipticCurve("ev1")
E.isogeny_class()
Elliptic curves in class 265200.ev
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.ev1 | 265200ev1 | \([0, 1, 0, -96408, -12040812]\) | \(-1548415333009/77332320\) | \(-4949268480000000\) | \([]\) | \(1290240\) | \(1.7725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.ev1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265200.ev do not have complex multiplication.Modular form 265200.2.a.ev
sage: E.q_eigenform(10)