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SageMath
E = EllipticCurve("mf1")
E.isogeny_class()
Elliptic curves in class 141120mf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.eq1 | 141120mf1 | \([0, 0, 0, -12348, 907578]\) | \(-110592/125\) | \(-235342236024000\) | \([]\) | \(376320\) | \(1.4521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120mf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120mf do not have complex multiplication.Modular form 141120.2.a.mf
sage: E.q_eigenform(10)