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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 503803.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
503803.a1 | \([0, 0, 1, 19, 12]\) | \(758550528/503803\) | \(-503803\) | \([]\) | \(51292\) | \(-0.21707\) |
Rank
sage: E.rank()
The elliptic curve 503803.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 503803.a do not have complex multiplication.Modular form 503803.2.a.a
sage: E.q_eigenform(10)