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SageMath
E = EllipticCurve("ev1")
E.isogeny_class()
Elliptic curves in class 145200ev
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.r1 | 145200ev1 | \([0, -1, 0, -2318158, 1365978187]\) | \(-212464384/1215\) | \(-7878492722553750000\) | \([]\) | \(5322240\) | \(2.4677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200ev1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200ev do not have complex multiplication.Modular form 145200.2.a.ev
sage: E.q_eigenform(10)